Maximal operators defined by Fourier multipliers
Carlos Kenig, Peter Tomas (1980)
Studia Mathematica
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Displaying similar documents to “Besicovitch Type Maximal Operators and Applications to Fourier Analysis.”
Maximal operators defined by Fourier multipliers
The space of maximal Fourier multipliers as a dual space
Naohito Tomita (2006)
Studia Mathematica
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Figà-Talamanca characterized the space of Fourier multipliers as the dual space of a certain Banach space. In this paper, we characterize the space of maximal Fourier multipliers as a dual space.
On quasiradial Fourier multiplier and their maximal functions.
Andreas Seeger (1986)
Journal für die reine und angewandte Mathematik
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Maximal and singular integral operators via Fourier transform estimates.
J. Duoandikoetxea, J.L. de Rubio de Francia (1986)
Inventiones mathematicae
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Existence and non-existence of maximal solutions for y" = f(x, y, y') *
J. W. Bebernes, Steven K. Ingram (1971)
Annales Polonici Mathematici
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The Bourbaki integral as maximal integral
Frank Terpe (1971)
Colloquium Mathematicae
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On maximal and complete regions
M. A. Selby (1974)
Colloquium Mathematicae
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Pointwise convergence of multiplier operators
Douglas S. Kurtz (1990)
Colloquium Mathematicae
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The Maximal (C, ...) Operator of Two-Parameter Walsh-Fourier Series.
Ferenc Weisz (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
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On weak type inequalities for rare maximal functions in ℝⁿ
A. M. Stokolos (2006)
Colloquium Mathematicae
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The study of one-dimensional rare maximal functions was started in [4,5]. The main result in [5] was obtained with the help of some general procedure. The goal of the present article is to adapt the procedure (we call it "dyadic crystallization") to the multidimensional setting and to demonstrate that rare maximal functions have properties not better than the Strong Maximal Function.
Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
Anthony Carbery (1988)
Annales de l'institut Fourier
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We show that the maximal operator associated to the family of rectangles in one of whose sides is parallel to for some j,k is bounded on , . We give an application of this theorem to obtain an extension of the Marcinkiewicz multiplier theorem.
Note on intersections of maximal clones.
Doroslovački, Rade, Pantović, Jovanka, Vojvodić, Gradimir (1999)
Novi Sad Journal of Mathematics
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Fourier analysis in several parameters.
Robert Fefferman (1986)
Revista Matemática Iberoamericana
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Clearly, one of the most basic contributions to the fields of real variables, partial differential equations and Fourier analysis in recent times has been the celebrated theorem of Calderón and Zygmund on the boundedness of singular integrals on R [1].